Technical Note no. 1 SUPERSONIC FLOW PAST SLENDER BODIES OF ARBITRARY SHAPE (Practical numerical methods for Electronic Computers)

摘要

Subject of this note is the linearized supersonic steady flow around slender bodies of arbitrary shape. The velocity potential is developed into a FOURIER series. The coefficients of the FOURIER series are finite or infinite sums of LEGENDRE functions of the 2nd kind.nThe terms of the FOURIER series correspond to singularities distributed along the axis of the body. The two first terms give the well known solution of v.KARMAN, MOORE and TSIEN for bodies of revolution with zero or small angle of attack. The following terms characterize deformations of the body of re¬volution and in this way one obtains a flow past “slender bo¬dies of arbitrary shape”.